Nonlinear Inequalities

2x² + 5x ≥ 12

• [-4, 3/2]

• (−∞, -4) U (3/2, ∞)

• (−∞, -4] U [3/2, ∞)

• no solution

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

Tags

CCSS.HSA.REI.C.7

Match this number line

to its correct solution.

• 
• 
• 
• 

Is (2, 3) part of the solution set? 
y < 2x² -3x+1

• Yes

• No

• y ≥ -(x + 4)² + 1
• y < -(x - 4)² + 1
• y ≤ (x - 4)² + 1
• y ≤ -(x - 4)² + 1

Tags

CCSS.HSF-IF.C.7A

• y ≤ (x - 3)² + 3
• y < (x + 3)² - 3
• y < (x - 3)² - 3
• y ≤ (x + 3)² - 3

Tags

CCSS.HSF-IF.C.7A

Solve: 5x - 10x² < 0

• (0, ½)

• [0, ½]

• (−∞, 0) U (½, ∞)

• (- ½ , 0)

Match the graph to its inequality.

• y > -x² - 5x - 6

• y > x² + x - 6

• y < x² - 5x + 6

• y < -x² - x + 6

Tags

CCSS.HSF-IF.C.7A